Physicists at Penn State have proposed a new way to measure black hole entropy that works even when these cosmic giants are spinning, merging, or slowly dying.
Picture a kettle boiling on a stove. Now picture something a billion times more violent — a black hole swallowing a star, or two black holes colliding at the edge of the observable universe. For fifty years, physicists have used the same basic rulebook for both. That rulebook, built by Stephen Hawking and colleagues in the early 1970s, connected the wild extremes of black holes to the familiar laws of thermodynamics.
It was elegant. It was also, it turns out, incomplete. The problem is surprisingly simple to state. Hawking's laws of black hole mechanics were designed for black holes sitting quietly in equilibrium — not changing, not growing, not fading.
But real black holes are never that polite. They form from collapsing stars, crash into each other, and slowly evaporate over unimaginable timescales through a quantum process Hawking himself predicted. "They were formulated for black holes at equilibrium, or unchanging over time, but black holes are constantly changing — they form, merge, and eventually evaporate," said Abhay Ashtekar, Atherton University Professor and Evan Pugh Professor of Physics Emeritus at Penn State, who led the research team. Ashtekar and his colleagues have now published a new approach in Physical Review Letters, selected by editors as a highlighted paper.